Exact results for first-passage-time statistics in biased quenched trap models

Takuma Akimoto, Keiji Saitou

Research output: Contribution to journalArticle

Abstract

We provide exact results for the mean and variance of first-passage times (FPTs) of making a directed revolution in the presence of a bias in heterogeneous quenched environments where the disorder is expressed by random traps on a ring with period L. FPT statistics are crucially affected by the disorder realization. In the large-L limit, we obtain exact formulas for the FPT statistics, which are described by the sample mean and variance for waiting times of periodically arranged traps. Furthermore, we find that these formulas are still useful for nonperiodic heterogeneous environments; i.e., the results are valid for almost all disorder realizations. Our findings are fundamentally important for the application of FPT to estimate diffusivity of a heterogeneous environment under a bias.

Original languageEnglish
Article number052127
JournalPhysical Review E
Volume99
Issue number5
DOIs
Publication statusPublished - 2019 May 20

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First Passage Time
Exact Results
Trap
Biased
statistics
traps
Statistics
Disorder
Heterogeneous Environment
disorders
Sample variance
Sample mean
Diffusivity
Waiting Time
Model
diffusivity
Valid
Ring
Estimate
rings

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Exact results for first-passage-time statistics in biased quenched trap models. / Akimoto, Takuma; Saitou, Keiji.

In: Physical Review E, Vol. 99, No. 5, 052127, 20.05.2019.

Research output: Contribution to journalArticle

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